Stretched -primary ideals.
Rossi, Maria Evelina, Valla, Giuseppe (2001)
Beiträge zur Algebra und Geometrie
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Rossi, Maria Evelina, Valla, Giuseppe (2001)
Beiträge zur Algebra und Geometrie
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Farzad Fatehi, Mohammad Reza Molaei (2014)
Topological Algebra and its Applications
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The aim of this paper is to consider the ringswhich can be graded by completely simple semigroups. We show that each G-graded ring has an orthonormal basis, where G is a completely simple semigroup. We prove that if I is a complete homogeneous ideal of a G-graded ring R, then R/I is a G-graded ring.We deduce a characterization of the maximal ideals of a G-graded ring which are homogeneous. We also prove that if R is a Noetherian graded ring, then each summand of it is also a Noetherian...
Chaopraknoi, Sureeporn, Savettaseranee, Knograt, Lertwichitsilp, Patcharee (2005)
General Mathematics
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A. Caruth (1993)
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Thuyet, Le Van, Quynh, Truong Cong (2009)
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Kulosman, H. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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K. Samei (2000)
Colloquium Mathematicae
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The space of maximal ideals is studied on semiprimitive rings and reduced rings, and the relation between topological properties of Max(R) and algebric properties of the ring R are investigated. The socle of semiprimitive rings is characterized homologically, and it is shown that the socle is a direct sum of its localizations with respect to isolated maximal ideals. We observe that the Goldie dimension of a semiprimitive ring R is equal to the Suslin number of Max(R).
Ali, Majid M. (2006)
Beiträge zur Algebra und Geometrie
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Bod'a, E., Šuňal, I. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Boulagouaz, M., Oukhtite, L. (2001)
Beiträge zur Algebra und Geometrie
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Kreuzer, Martin (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Wisbauer, Robert, Yousif, Mohamed F., Zhou, Yiqiang (2002)
Beiträge zur Algebra und Geometrie
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